Question

The fee for charging an electric car at Station A is $2 to start and $4 for each hour or fraction of an hour. Which point is NOT included in the graph of this step function?A.(2.5, 14)B.(2, 10)C.(0, 0)D.(1, 6)Part BThe fee for charging an electric car at Station B for x hours is modeled by the function shown:f(x)={4x, if 0

Answer 1

The station cost $2 to start and after that $4 for every hour or fraction of hour.

For 2.5 hours, the charge is $2 to start after that 4$ for first hour, $4 for second hour and $4 for next 1/2 hours. Total cost is,

`2+4+4+4=14`

Simillarly for 2 hours total cost is,

`2+4+4=10`

For 0 hours there is start cost of $2 so point (0,2) must be included or (0,0) NOT included.

PART B

Determine the cost to charge a car at station A for 4 hours.

`2+4+4+4+4=18`

Determine the cost to charge a car at station B for 4 hours.

`2\cdot4+3=15`

So cost to charge a car for 4 hours is less for station B and fee for charging the car for 4 hours there is $15.